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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 33462.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33462.a1 | 33462bl1 | \([1, -1, 0, -4083156, 3176740048]\) | \(-361585288790756017/123904\) | \(-2579801342976\) | \([]\) | \(645120\) | \(2.1760\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33462.a do not have complex multiplication.Modular form 33462.2.a.a
sage: E.q_eigenform(10)